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Limit of the function/ x^2

Limit of the function x^2

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The solution

You have entered [src] 
      2
 lim x 
x->0+
lim⁡x→0+x2\lim_{x \to 0^+} x^{2} 
Limit(x^2, x, 0)
Lopital's rule
There is no sense to apply Lopital's rule to this function since there is no indeterminateness of 0/0 or oo/oo type
The graph
02468-8-6-4-2-1010200-100
Plot the graph
Other limits x→0, -oo, +oo, 1
lim⁡x→0−x2=0\lim_{x \to 0^-} x^{2} = 0
More at x→0 from the left
lim⁡x→0+x2=0\lim_{x \to 0^+} x^{2} = 0
lim⁡x→∞x2=∞\lim_{x \to \infty} x^{2} = \infty
More at x→oo
lim⁡x→1−x2=1\lim_{x \to 1^-} x^{2} = 1
More at x→1 from the left
lim⁡x→1+x2=1\lim_{x \to 1^+} x^{2} = 1
More at x→1 from the right
lim⁡x→−∞x2=∞\lim_{x \to -\infty} x^{2} = \infty
More at x→-oo
Rapid solution [src] 
0
00
Expand and simplify
One‐sided limits [src] 
      2
 lim x 
x->0+
lim⁡x→0+x2\lim_{x \to 0^+} x^{2} 
0
00 
= -9.68305799950874e-32
      2
 lim x 
x->0-
lim⁡x→0−x2\lim_{x \to 0^-} x^{2} 
0
00 
= -9.68305799950874e-32
= -9.68305799950874e-32
Numerical answer [src] 
-9.68305799950874e-32
-9.68305799950874e-32
The graph
Limit of the function x^2
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